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AIME 2020a Problem 14

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Let P(x)P(x) be a quadratic polynomial with complex coefficients whose x2x^2 coefficient is 1.1. Suppose the equation P(P(x))=0P(P(x))=0 has four distinct solutions, x=3,4,a,b.x=3,4,a,b. Find the sum of all possible values of (a+b)2.(a+b)^2.

Dataset text AIME 1983 to 2026. Quoted with source.

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